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A new modified independent modal space control approach toward control of seismic-excited structures

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Abstract

In this paper, a new modified independent modal space control, namely independent modal space proportional-integral-derivative control (IMSPIDC), is proposed. The proposed control approach is developed through combining the well-known idea of proportional- integral- derivative control with the independent modal space control theory. IMSPIDC is applied to the problem of structural control under seismic excitation. A good trade-off between the conflicted modal structural responses and modal control force is crated using a multi-objective cuckoo search. Considering two different control devices includes: (1) an active tuned mass damper and (2) a system of active tendons, the performance of the proposed controller is evaluated in comparison with an independent modal space Linear–quadratic–regular control (IMSLQRC). The Simulation results show that the IMSPIDC performs significantly better than the IMSLQRC in reduction of seismic responses of the structure. The proposed controller has several advantages in terms of simplicity and reduction of required sensors to the number of controlled stories. Furthermore, an evaluation of robustness against stiffness uncertainties indicates that the IMSPIDC gives a better performance than IMSLQRC in this term.

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References

  • Aguirre N, Ikhouane F, Rodellar J (2011) Proportional-plus-integral semi active control using magneto- rheological dampers. J Sound Vib 330(10):2185–2200

    Article  Google Scholar 

  • Alavinasab A, Moharrami H, Khajepour A (2006) Active control of structures using energy-based LQR method. Comput Aided Civil Infrastruct Eng 21(8):605–611

    Article  Google Scholar 

  • Balas MJ (1978) Active control of flexible systems. J Optim Theory Appl 25(3):415–436

    Article  Google Scholar 

  • Baz A, Poh S (1990) Experimental implementation of the modified independent modal space control method. J Sound Vib 139(1):133–149

    Article  Google Scholar 

  • Civicioglu P, Besdok E A (2103) Conception comparison of the cuckoo search, particle swarm optimization, differential evolution and artificial bee colony algorithms. Artif Intell Rev 39(4): 315–346

  • Etedali S, Sohrabi MR, Tavakoli S (2013) Optimal PD/PID control of smart base isolated buildings equipped with piezoelectric friction dampers. Earthq Eng Eng Vib 12(1):39–54

    Article  Google Scholar 

  • Etedali S, Tavakoli S, Sohrabi MR (2016) Design of a decoupled PID controller via MOCS for seismic control of smart structures. Earthq Struct 10(5):1067–1087

    Article  Google Scholar 

  • Fang JQ, Li QS, Jeary AP (2003) Modified independent modal space control of mdof systems. J Sound Vib 261(3):421–441

    Article  Google Scholar 

  • Fisco NR, Adeli H (2011a) Smart structures: Part I— active and semi-active control. Sci Iran 18(3):275–284

    Article  Google Scholar 

  • Fisco NR, Adeli H (2011b) Smart structures: Part II—hybrid control systems and control strategies. Sci Iran 18(3):285–295

    Article  Google Scholar 

  • Fung RF, Liu YT, Wang CC (2005) Dynamic model of an electromagnetic actuator for vibration control of a cantilever beam with a tip mass. J Sound Vib 288(4–5):957–980

    Article  Google Scholar 

  • Gandomi AH, Talatahari S, Yang XS, Deb S (2013) Design optimization of truss structures using cuckoo search algorithm. Struct Des Tall Spec Build 22(17):1330–1349

    Article  Google Scholar 

  • Guclu R (2003) Fuzzy-logic control of vibrations of analytical multi-degree-of-freedom structural systems. Turkish J Eng Environ Sci 27(3):157–167

    Google Scholar 

  • Guclu R (2006) Sliding mode and PID control of a structural system against Earthquake. Math Comput Model 44(1–2):210–217

    Article  Google Scholar 

  • Guclu R, Yazici H (2007) Fuzzy-logic control of a non-linear structural system against earthquake induced vibration. J Vib Control 13(11):1535–1555

    Article  Google Scholar 

  • Guclu R, Yazici H (2009) Seismic-vibration mitigation of a nonlinear structural System with an ATMD through a fuzzy PID controller. Nonlinear Dyn 58(3):553–564

    Article  Google Scholar 

  • Jung WJ, Jeong WB, Hong SR, Choi SB (2004) Vibration control of a flexible beam structure using squeeze-mode ER mount. J Sound Vib 273(1–2):185–199

    Article  Google Scholar 

  • Kim MH, Inman DJ (2001) Reduction of observation spillover in vibration suppression using a sliding mode observer. J Vib Control 7(7):1087–1105

    Article  Google Scholar 

  • MATLAB. The Math Works, Inc., Natick, MA, 2000

  • Meirovitch L, Baruh H, OZ H (1983) A comparison of control techniques for large flexible systems. J Guid Control Dyn 6(4):302–310

    Article  Google Scholar 

  • Mohebbi M, Shakeli K, Ghanbarpour Y, Majzoub H (2013) Designing optimal multiple tuned mass dampers using genetic algorithms (GAs) for mitigating the seismic response of structures. J Vib Control 19(4):605–625

    Article  Google Scholar 

  • Nigdeli SM (2014) Effect of feedback on PID controlled active structures under earthquake excitations. Earthq Struct 6(2):217–235

    Article  Google Scholar 

  • Nigdeli SM, Boduroğlu MH (2013) Active Tendon Control of Torsionally Irregular Structures under Near-Fault Ground Motion Excitation. Comput Aided Civil Infrastruct Eng 28(9):718–736

    Article  Google Scholar 

  • Park KS, Koh HM, Seo CW (2004) Independent modal space fuzzy control of earthquake-excited structures. Eng Struct 26(2):279–289

    Article  Google Scholar 

  • Rajabioun R (2011) Cuckoo optimization algorithm. Appl Soft Comput 11(8):5508–5518

    Article  Google Scholar 

  • Saaed TE, Nikolakopoulos G, Jonasson JE, Hedlund H (2015) A state-of-the-art review of structural control systems. J Vib Control 21(5):919–937

    Article  Google Scholar 

  • Serra M, Resta F, Ripamonti F (2013) Dependent modal space control. Smart Mater Struct 22(10):1–11

    Article  Google Scholar 

  • Shen Y, Homaifar A, Chen D (2000) Vibration control of flexible structures using fuzzy logic and genetic algorithms. Am Control Conf Am Chicago, IL, USA 1:448–452

    Google Scholar 

  • Singh MP, Matheu EE, Suarez LE (1997) Active and semi-active control of structures under seismic excitation. Earthq Eng Struct Dyn 26(2):193–213

    Article  Google Scholar 

  • Singh SP, Pruthi HS, Agarwal VP (2003) Efficient modal control strategies for active control of vibrations. J Sound Vib 262(3):563–575

    Article  Google Scholar 

  • Tavakoli S, Griffin I, Fleming PJ (2006) Tuning of decentralized PI (PID) controllers for TITO processes. Control Eng Pract 14(6):1069–1080

    Article  Google Scholar 

  • Yang XS and Deb S (2009) Cuckoo search via Lévy flights. In: The World Congress on Nature & Biologically Inspired Computing (NaBIC), pp 210–214

  • Yang XS, Deb S (2013) Multi objective cuckoo search for design optimization. Comput Oper Res 40(6):1616–1624

    Article  Google Scholar 

  • Yang XS, Deb S (2014) Cuckoo search: recent advances and applications. Neural Comput Appl 24(1):169–174

    Article  Google Scholar 

  • Yang JN, Agrawal AK, Samali B, Wu JC (2004) Benchmark problem for response control of wind-excited tall buildings. J Eng Mech 130(4):437–446

    Article  Google Scholar 

  • Yu W, Suresh T and Li X (2014), “Stable PID vibration control of building structures. In: the 19th World congress -international federation of automatic control, South Africa, 19(1): 4760–4765

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Authors and Affiliations

  1. Department of Civil Engineering, Birjand University of Technology, P.O. Box 97175-569, Birjand, Iran

    Sadegh Etedali

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  1. Sadegh Etedali
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Correspondence to Sadegh Etedali.

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Etedali, S. A new modified independent modal space control approach toward control of seismic-excited structures. Bull Earthquake Eng 15, 4215–4243 (2017). https://doi.org/10.1007/s10518-017-0134-6

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  • DOI: https://doi.org/10.1007/s10518-017-0134-6

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